WebAbstract Wo study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. Wo observe that when an ordinary differential equation that … WebSep 1, 2001 · The paper studies existence, uniqueness, and stability of large-amplitude periodic cycles arising in Hopf bifurcation at infinity of autonomous control systems with bounded nonlinear feedback. We consider systems with functional nonlinearities of Landesman–Lazer type and a class of systems with hysteresis nonlinearities.
(PDF) Active Control of the Parametric Resonance in the Modified ...
WebOct 26, 2024 · We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifurcation subject to additive white noise and identify three dynamical … Web1!2:If 6= 0 , then, for ˙= 0 the system undergoes a Hopf bifurcation from infinity, that is, one symmetric limit cycle of large amplitude appears for ˙<0 and ˙sufficiently small. ... (2001) On the Hopf bifurcation in control systems with a bounded nonlinearity asymp-totically homogeneous at infinity, J. Differ. Equ. 5:1–26. [4] Di ... schedule 43 cra
Hopf bifurcation of nonlinear system with multisource stochastic ...
WebDec 3, 2024 · The reaction-diffusion Gierer-Meinhardt system in one dimensional bounded domain is considered in the present paper. The Hopf bifurcation is investigated, which is found to be degenerate. With the aid of Maple, the normal form associated with the degenerate Hopf bifurcation is obtained to determinate the existence of Bautin … WebSep 21, 2024 · The Hopf bifurcation with bounded noise Item Preview remove-circle Share or Embed This Item. Share to Twitter. Share to Facebook. Share to Reddit. Share to … WebMar 1, 2024 · Random physical intensity can promote the occurrence of Hopf bifurcation, noise intensity can change the magnitude of the limit cycle amplitude. Abstract The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter. russia bubonic plague